64395429214464 has 720 divisors, whose sum is σ = 200542803901440. Its totient is φ = 20529058037760.

The previous prime is 64395429214429. The next prime is 64395429214517. The reversal of 64395429214464 is 46441292459346.

64395429214464 is a `hidden beast` number, since 6 + 4 + 3 + 9 + 5 + 429 + 2 + 144 + 64 = 666.

It is a super-2 number, since 2×64395429214464² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58066211542 + ... + 58066212650.

Almost surely, 2^{64395429214464} is an apocalyptic number.

64395429214464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64395429214464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100271401950720).

64395429214464 is an abundant number, since it is smaller than the sum of its proper divisors (136147374686976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64395429214464 is a wasteful number, since it uses less digits than its factorization.

64395429214464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2125 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 63.

The spelling of 64395429214464 in words is "sixty-four trillion, three hundred ninety-five billion, four hundred twenty-nine million, two hundred fourteen thousand, four hundred sixty-four".